Weighted P-partitions enumerator
Apstrakt
To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.
Ključne reči:
generalized permutohedron / quasisymmetric function / poset / combinatorial Hopf algebraIzvor:
Applicable Analysis and Discrete Mathematics, 2021Izdavač:
- Applicable Analysis and Discrete Mathematics